A gas diffuses 1/5 times as fast as hydrogen. | vedclass

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(A) According to Graham's Law of diffusion,the rate of diffusion $r$ is inversely proportional to the square root of the molecular weight $M$: $r \pro

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$50$

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(A) According to Graham's Law of diffusion,the rate of diffusion $r$ is inversely proportional to the square root of the molecular weight $M$: $r \propto \frac{1}{\sqrt{M}}$.Given that the rate of the gas $r_g = \frac{1}{5} r_{H_2}$,we have $\frac{r_{H_2}}{r_g} = 5$.Using the relation $\frac{r_{H_2}}{r_g} = \sqrt{\frac{M_g}{M_{H_2}}}$,we get $5 = \sqrt{\frac{M_g}{2}}$.Squaring both sides,$25 = \frac{M_g}{2}$,which gives $M_g = 50$.

$A$ gas diffuses $1/5$ times as fast as hydrogen. Its molecular weight is

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